Question

which of the following represents the interval (0, ∞) on a number line? a line extending to the right from 0 with an open circle at 0 a line extending to the left from 0 with a closed circle at 0 a line extending to the left from 0 with an open circle at 0 a line extending to the right from 0 with a closed circle at 0

Explanation:

Step1: Understand interval notation

The interval $(0,\infty)$ is an open - interval. It includes all real numbers greater than 0 but not 0 itself.

Step2: Recall number - line representation

On a number line, an open - interval is represented by an open circle at the starting point and a line extending in the appropriate direction. Since the numbers are greater than 0, the line extends to the right.

Answer:

A line extending to the right from 0 with an open circle at 0